• Pallavi Saikia

Physical cosmology is one of the highest features of Astronomy and Space Science which is a sub-branch of Mathematics, correlated with the analysis of cosmological configurational representations. A cosmological architype or basically cosmology, affords a portrayal of the large-scale structure of the observable cosmos, its dynamics and permits the logical reasoning build-up and analytical perceptiveness of the basic queries relating to the beginning, composition, progression and extreme providence of our cosmos. In physical cosmology, the shape of the universe can be defined as an interpretation of the local and global geometry of the cosmos. The local structures of the geometry of the cosmos are mostly designated by curvature of the cosmos, whereas the topology of the cosmos designates universal comprehensive possessions of its shape as a unceasing entity. The spatial curvature is illustrated by general relativity which designates the inherent geometrical manifolds depicting the very feature of how spacetime is curled as a consequence of gravitational force. The spatial topology cannot be regulated from its curvature because of the fact that there exist locally incomprehensible interstellar spaces that might be surpassed with the diverse topological invariants or simply topologically acknowledged constant parameters. The observable cosmos may appear to be shapeless since its vastness, however possesses a configuration that can be perceived by space scientists. A recorded number of cosmological substantiations indicate the cosmos's compactness which is almost correspondent of about six protons per 1.3 cubic yards due to which the cosmos inflates in each possible dimensions, exclusive of warping positively or negatively, specifying that the geometrical shape experienced by the observable cosmos is flat. In the absence of dark energy, a flat cosmos magnifies eternally, however at a constantly reduced rate of speed, accompanying the scenario of the extension asymptotically potentially intending to zero. With the aid of the dark energy’s dominance, the frequency of variation of the cosmos with time, primarily decelerates, attributable to the consequence of gravity, in due course with an increasing intension.

Flat, universe, expansion, density, geometry.

"Different Comprehensive Geometrical Configurations Exhibited by the Observable Cosmos: An Abridged Mathematical Investigation", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 8, page no.g262-g272, August-2023, Available :http://www.jetir.org/papers/JETIR2308629.pdf

"Different Comprehensive Geometrical Configurations Exhibited by the Observable Cosmos: An Abridged Mathematical Investigation", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 8, page no. ppg262-g272, August-2023, Available at : http://www.jetir.org/papers/JETIR2308629.pdf